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Finding the Fourth Proportional to 149.13, 205.61 and 99.99

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Solution

The fourth proportional to 149.13, 205.61 and 99.99 is: 137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.13 : 205.61 = 99.99 : x
  2. Step 2: Convert to fraction form
    149.13/205.61 = 99.99/x
  3. Step 3: Cross multiply
    149.13x = 205.61 × 99.99
  4. Step 4: Simplify right side
    149.13x = 20,558.44
  5. Step 5: Solve for x
    x = 20,558.44/149.13
  6. Step 6: Final answer
    x = 137.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.